Quasi-elementary H-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules

2008/05/22 by Florin Panaite, Panaite, Florin, Freddy Van Oystaeyen +1
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.0805.3437

15 pages

arxiv created 2008/05/22 · arxiv updated 2009/12/01

Abstract

Let H be a Hopf algebra with bijective antipode, let α, βbe two Hopf algebra automorphisms of H and M a finite dimensional (α, β)-Yetter-Drinfeld module. We prove that End(M) endowed with certain structures becomes an H-Azumaya algebra, and the set of H-Azumaya algebras of this type is a subgroup of BQ(k, H), the Brauer group of H.

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